Sharp inequalities via truncation

Pekka Koskela; Jani Onninen

doi:10.1016/S0022-247X(02)00465-1

Sharp inequalities via truncation

Pekka Koskela, Jani Onninen

Research output: Contribution to journal › Review article › peer-review

5 Scopus citations

Abstract

We show that Sobolev-Poincaré and Trudinger inequalities improve to inequalities on Lorentz-type scales provided they are stable under truncations.

Original language	English (US)
Pages (from-to)	324-334
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	278
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(02)00465-1
State	Published - Feb 15 2003
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-247X(02)00465-1

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@article{f44d4d5aff7e48cb9efa922d8a38a481,

title = "Sharp inequalities via truncation",

abstract = "We show that Sobolev-Poincar{\'e} and Trudinger inequalities improve to inequalities on Lorentz-type scales provided they are stable under truncations.",

author = "Pekka Koskela and Jani Onninen",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (P. Koskela), [email protected] (J. Onninen). 1 Both authors are supported in part by the Academy of Finland, project 39788.",

year = "2003",

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doi = "10.1016/S0022-247X(02)00465-1",

language = "English (US)",

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pages = "324--334",

journal = "Journal of Mathematical Analysis and Applications",

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T1 - Sharp inequalities via truncation

AU - Koskela, Pekka

AU - Onninen, Jani

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (P. Koskela), [email protected] (J. Onninen). 1 Both authors are supported in part by the Academy of Finland, project 39788.

PY - 2003/2/15

Y1 - 2003/2/15

N2 - We show that Sobolev-Poincaré and Trudinger inequalities improve to inequalities on Lorentz-type scales provided they are stable under truncations.

AB - We show that Sobolev-Poincaré and Trudinger inequalities improve to inequalities on Lorentz-type scales provided they are stable under truncations.

UR - http://www.scopus.com/inward/record.url?scp=0037729015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037729015&partnerID=8YFLogxK

U2 - 10.1016/S0022-247X(02)00465-1

DO - 10.1016/S0022-247X(02)00465-1

M3 - Review article

AN - SCOPUS:0037729015

SN - 0022-247X

VL - 278

SP - 324

EP - 334

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Sharp inequalities via truncation

Abstract

ASJC Scopus subject areas

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